# Tagged Questions

The Chicago Board Options Exchange Market Volatility Index, a popular measure of the implied volatility of S&P 500 index options.

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### Pricing variance swaps using Monte Carlo

For pricing variance swaps there is the well-known formula as sum of OTM options weighted by the inverse of the squared strike (see e.g. here). Would it also be valid to derive the local-volatility ...
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### GARCH models vs VIX

I am examining how investor sentiment affects the probability of stock market crises. I am using methodology similar to this paper https://ideas.repec.org/p/dij/wpfarg/1110304.html. VIX (equivalents) ...
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### How to compute 30/60/90-day Implied Volatility?

I want to calculate the 30/60/90/180 day 100% moneyness implied volatility for a stock. I think I know how to do it but would like to share my thought processes with the group to verify I'm on the ...
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### Model Free VIX Calculation in Python

I have previously seen this implementation and had meant to replicate it, but can't find it any longer. Does anyone know of a python implementation of the CBOE Volatility Index? Yes, the white paper ...
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### why Implied Vol (VIX) increase with decrease in Stock Price or vice versa?

why Implied Vol (VIX) increase with decrease in Stock Price or vice versa? whereas Vega is positively related with change in option price to change in stock price.
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### VIX ETP Net Vega exposure

Does anyone know the calculation that these EQD desks are using to calculate the net Vega exposure of the VIX ETPs? I am assuming it involves shares outstanding in each ETP, the value of a 30 day ...
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### If VIX measures SPX IV 30-days in future, how to modify formula to calc IV 60-days in future?

So I've gone over the CBOE VIX white paper a few times and understand it well enough to have written (Ruby) code to produce the correct VIX. I have the older version of the paper where it only used ...
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### Construction of VIX and VVIX

I just read the CBOE's Whitepapers for VIX and VVIX and notice that they are constructed in the same way, i.e. a range of calls and puts on the respective underlyings (S&P500 in case of VIX, and ...
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### How was the old VIX calculated?

Today VIX is computed based on near- and next- term options series which fall into the time period of [23, 37] days. That is what it is now, when they use SPX weekly, so they have options expiring ...
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### How do market makers hedge VIX index options?

With equity options, many market makers hedge by buying or selling the underlying asset in correspondence with the option's delta. For example, if the market maker wrote 1 call option with a delta of ...
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### How to find or calculate 30-day constant maturity price of a future?

Question, pretty much says it. Is there a reliable place where this data can be found or, if not, is there a reliable place where the underlying data needed to calculate the constant maturity price ...
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### What is the formula that determines when VIX futures expire?

Or a source that will allow me to just get the list of dates into a program, I'm trying to do this in python but I want it to be able to figure out the next expiration automatically, or something like ...
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### VXV vs. VIX futures: arbitrage opportunities?

At a first glance, VXV and VIX futures should not be compared at all: VXV is an underlying index, whilst VIX futures are derivatives written on a different underlying index, that is, VIX. As instance,...
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### Motivation for hedging volatility using VIX ETNs

i wondered what the motivation for professional investors could be to engage in VIX ETNs. Would they even think about trading this kind of product? (they normally should have access to VIX options, ...
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### Why is the value of the VXX ETN always above short-term VIX futures prices?

If the VXX is simply a constant maturity weighted average of the 1st and 2nd month VIX futures prices, then why is its market price always larger than the maximum of the two? (the larger of the two is ...
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### Interpretation of vega out of BS formula

I am comparing Monte Carlo estimates of VaR (using importance sampling) under both the normal and student distributions. I am also considering risk factors other than log-prices; in particular, ...
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### VIX Calculation - weighting of strikes

The formula for calculating the VIX from SPX options is given on page 4 of this document: https://www.cboe.com/micro/vix/vixwhite.pdf My question is, why is the option price at each strike weighted ...
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### Forecast biasness of VIX term structure

I'm interested in the topic of VIX futures being overpriced, so I'm looking for different models to find evidence for it. Asensio 2013 uses a regression to evaluate the forecast biasness of the VIX ...
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### How is implied volatility derived?

How to compute Implied Volatility Calculation? The above link shows that there multiple ways to calculate implied volatility. My question is that for most of the common data sources like Bloomberg, ...
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### Underlying mechanics of paired class shares ETFs

I came across an interesting pair of VIX ETPs, VXUP and VXDN. This new product referred to as "paired class shares" ETFs are quite different from traditional ETPs. Some interesting highlights from the ...
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### VIX Futures data: why happen to have settle price > 0 and Volume = O.I. = 0

This question is about something observed hands on data that makes me a little confused. Consider the term structure of futures on VIX of Monday, December 27, 2010. You can find it at the CFE market ...
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### How to hedge a long stock with the corresponding volatility ETF

Let us say I want to establish a market neutral position. So if I buy 50 shares of stock (SPY) and I want to delta hedge, I sell an ATM covered call. So that brings the position delta to 0. Now, I ...
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### VIX options historical data

I'm looking at these data: call and put options on VIX. I'm interested in daily quotes (all strikes and maturities) for - at least - 2009/10. Could you list link of possible sources? and possibily ...
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### VIX-implied Volatility calculator

Does anybody know any implied volatility calculator for VIX Options, possibily in Matlab? For Vanilla Options, I'm currently employing this function which is very fast and reliable (much more than ...
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### Nested volatility

The introduction VIX options makes the concept of "volatility of volatility" a real life concept. The idea of "nested volatility" seems interesting, and I am wondering if there are any academic ...
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### Why is the VIX futures market usually in a state of contango?

I'm a VIX newbie and I'm trying to understand why the VIX futures market is usually in a state of contango. All I can figure is that the sellers of VIX futures contracts demand high "prices" (because ...
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### Why systematic divergence between ^VIX and VXX?

Why is there systematic negative divergence between the VIX index and the VXX ETF meant to track it? http://finance.yahoo.com/q/bc?s=%5EVIX&t=5y&l=on&z=l&q=l&c=vxx
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### If VIX is the Implied Volatility of SPX, 30 days in the future, how many days into the future does VIX vol look?

Question: if VIX is the Implied Volatility of SPX, 30 days in the future, how many days into the future does VIX vol look? +60 or +30? Lets see if I'm on the right track: Premise 1: VIX is the ...
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### How can one compute the Greeks on VIX Futures

I am guessing the short answer to this question is "use the chain rule and linearity of the derivative," but I am looking for more specific advice on how to compute the derivatives of a VIX futures ...
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### Using linear regression on (lagged) returns of one stock to predict returns of another

Suppose I want to build a linear regression to see if returns of one stock can predict returns of another. For example, let's say I want to see if the VIX return on day X is predictive of the S&P ...